A 4.0-cm-wide diffraction grating has 1600 slits. It is illuminated by light of wavelength 590 nm Part A What is the angle (in degrees) of the first diffraction order? Express your answer using three significant figures. ΑΣφ ? 01 = Submit Request Answer Part B What is the angle (in degrees) of the second diffraction order? Express your answer using three significant figures. 02 =

A 4.0-cm-wide diffraction grating has 1600 slits. It is illuminated by light of wavelength 590 nm Part A What is the angle (in degrees) of the first diffraction order? Express your answer using three significant figures. ΑΣφ ? 01 = Submit Request Answer Part B What is the angle (in degrees) of the second diffraction order? Express your answer using three significant figures. 02 =

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 86AP: How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction...

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

A 4.0-cm-wide diffraction grating has 1600 slits. It,
is illuminated by light of wavelength 590 nmn
Part A
What is the angle (in degrees) of the first diffraction order?
Express your answer using three significant figures.
Submit
Request Answer
Part B
What is the angle (in degrees) of the second diffraction order?
Express your answer using three significant figures.
Az =
%3D

Expert Solution

Step 1

Given data:

The number of slits in the grating is,

N= 1600 slits

The width of the diffraction grating is,

W =4 cm = 0.04m

The wavelength of the light illuminated is,

$λ = 590 nm = 590 \times 10^{- 9} m$

Formula used:

The grating element is the distance between two successive slits.

$d = \frac{W}{N}$

The condition for the diffraction is,

$d \sin (θ) = m λ$

Where,

m- Order of diffraction

$λ$ - Wavelength of the incident light

d- Grating element

$θ$ - Angle of diffraction

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